The expression \( x^2 - 1 \) is another example of the difference of squares. It can be factored using the formula:

\[
a^2 - b^2 = (a - b)(a + b)
\]

Here, \( x^2 \) is \( a^2 \) and 1 is \( b^2 \), where \( b = 1 \). So, the expression factors as:

\[
x^2 - 1 = (x - 1)(x + 1)
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you factor \( x^2 - 4 \)?
2. What are the solutions to the equation \( x^2 - 1 = 0 \)?
3. How does the difference of squares apply to \( x^2 - 9 \)?
4. What if the expression was \( x^2 + 1 \) instead? Can it be factored?
5. How do you expand \( (x - 1)(x + 1) \) to verify the factorization?

**Tip:** When dealing with a quadratic expression, always check if it can be factored using the difference of squares, especially when the constant term is a perfect square.

Learn how to factor the expression x^2 - 1 using the difference of squares formula. Understand the steps involved in factoring quadratic expressions and apply them to similar problems. Suitable for students in Grades 7-9.

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